Abstract
Using the theory of additive genetic variability of a polygenic trait, it is shown than an individual's heterozygosity at the loci governing the trait cannot be determined accurately from observations on phenotypes alone. Furthermore, the negative association between heterozygosity and phenotypic variance, and a positive correlation of the frequency of the modal class of a phenotypic trait and the extent of heterozygosity can be explained by additive allelic effects. It is argued that while the number of heterozygous loci in an individual may not be a good indicator of the individual's genomic heterozygosity, there is evidence that some of the biochemical loci may reflect genetic variation at the loci controlling phenotypic polymorphism. Thus the observed relationship between biochemical heterozygosity and phenotypic variance may not constitute hard evidence of heterosis, overdominance, or associative overdominance.
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Boerwinkle, E, Chakraborty, R, and Sing, C F. 1986. The use of measured genotype information in the analysis of quantitative phenotypes in man. Ann Hum Genet, 50, 181–194.
Chakraborty, R. 1981. The distribution of the number of heterozygous loci in an individual in natural populations. Genetics, 98, 461–466.
Chakraborty, R, Ferrell, R E, Barton, S A, and Schull, W J. 1986. Genetic polymorphism and fertility parameters in the Aymara of Chile and Bolivia. Ann Hum Genet, 50, 69–82.
Chakraborty, R, Fuerst, P A, and Nei, M. 1980. Statistical studies on protein polymorphism in natural populations. III. Distribution of allele frequencies and the number of alleles per locus. Genetics, 94, 1039–1063.
Chakraborty, R, and Ryman, N. 1983. Relationship between mean and variance of genotypic values with heterozygosity per individual in a natural population. Genetics, 103, 149–152.
Chakravarti, A, Buetow, K H, Antonarakis, S E, Waber, P G, and Boehm, C D, Kazazian, H H. 1984. Nonuniform recombination within the human β-globin gene cluster. Amer J Hum Genet, 36, 1239–1258.
Feller, W. 1950. An Introduction to Probability Theory and its Applications. 1, John Wiley, New York.
Fuerst, P A, Chakraborty, R, and Nei, M. 1977. Statistical studies on protein polymorphism in natural populations. I. Distribution of single locus heterozygosity. Genetics, 86, 455–483.
Gottlieb, L D. 1977. Genotypic similarity of large and small individuals in a natural population of the annual plant Stephanomeria exigua ssp. coronaria (compositae). Jour Ecol, 65, 127–134.
Handford, P. 1980. Heterozygosity at enzyme loci and morphological variation. Nature, 286, 261–262.
Hanis, C L, Chakraborty, R, and Hewett-Emmett, D. 1985. How much of variability in apolipoprotein All concentrations is explained by polymorphism adjacent to Apo-II gene? Lancet, i, 1339–1340.
Harris, H. 1975. The Principles of Human Biochemical Genetics, North-Holland, New York.
Hill, W G, and Robertson, A. 1968. Linkage disequilibrium in finite populations. Theor Appl Genet, 38, 226–231.
Jones, D F. 1917. Dominance of linked factors as a means of accounting for heterosis. Genetics, 2, 466–479.
Kacser, H, and Burns, J A. 1981. The molecular basis of dominance. Genetics, 97, 639–666.
Kimura, M. 1983. Rare variant alleles in the light of the neutral theory. Mol Biol Evol, 1, 84–93.
Knowles, P, and Grant, M C. 1981. Genetic patterns associated with growth variability in ponderosa pine. Amer Jour Bot, 68, 942–946.
Knowles, P, and Mitton, J B. 1980. Genetic heterozygosity and radial growth variability in Pinus contorta. Silvae Genetica, 29, 114–118.
Koehn R K, Zera, A J, and Hall, J G. 1983. Enzyme polymorphism and natural selection. In Nei, M. and Koehn, R. K. (eds.) Evolution of Genes and Proteins, Sinauer, Sunderland, pp. 115–137.
Kobyliansky, E, and Livshits, G. 1985. Differential fertility and morphological constitution of spouses. Z Morph Anthrop, 76, 95–105.
Kreitman, M. 1983. Nucleotide polymorphism at the alcohol dehydrogenase locus of Drosophila melanogaster. Nature, 304, 412–417.
Langley, C H, Tobari, Y N, and Kojima, K. 1974. Linkage disequilibrium in natural populations of Drosophila melanogaster. Seasonal variation. Genetics, 86, 447–454.
Li, W H. 1978. Maintenance of genetic variability under the joint effect of mutation, selection, and random drift. Genetics, 90, 349–382.
Livshits, G, and Kobyliansky, E. 1984. Biochemical heterozygosity as a predictor of developmental homeostasis in man. Ann Hum Genet, 48, 173–184.
Livshits, G, and Kobyliansky, E. 1985. Lerner's concept of developmental homeostasis and the problem of heterozygosity level in natural populations. Heredity, 55, 341–353.
Maruyana, T, and Nei, M. 1981. Genetic variability maintained by mutation and overdominant selection in finite populations. Genetics, 98, 441–459.
Mitton, J B, and Grant, M C. 1984. Association among heterozygosity, growth rate and developmental homeostasis. Ann Rev Ecol Syst, 15, 479–499.
Mitton, J B, Knowles, P, Sturgeon, K B, Linhart, Y B, and Davis, M. 1981. Associations between heterozygosity and growth rate variables in three western forest trees. In Conkle, M. T. (ed.) Isozymes of North American Forest Trees and Forest Insects. Gen. Tech. Rep. PSW-48. USDA Forest Service, Pacific Southwest Forest Range Experimental Station.
Mitton, J B, and Pierce, B A. 1980. The distribution of individual heterozygosity in natural populations. Genetics, 95, 1043–1054.
Mukai, T, Mettler, L E, and Chigusa, S I. 1971. Linkage disequilibrium in a local population of Drosophila melanogaster. Proc Natl Acad Sci USA, 68, 1056–1069.
Mukai, T, Watanabe, T K, and Yamaguchi, O. 1974. The genetic structure of natural populations of Drosophila melanogaster. XII. Linkage disequilibrium in a large local population. Genetics, 77, 771–793.
Nei, M. 1983. Genetic polymorphism and the role of mutation in evolution. In Nei, M. and Koehn, R. K. (eds.) Evolution of Genes and Proteins, Sinauer, Sunderland, pp. 165–190.
Nei, M. 1987. Molecular Evolutionary Genetics, Columbia Univ. Press. New York.
Nei, M, and Grauer, D. 1984. Extent of protein polymorphism and the neutral mutation theory. Evol Biol, 17, 73–118.
Nei, M, and Li, W H. 1973. Linkage disequilibrium in subdivided populations. Genetics, 75, 213–219.
Ohta, T. 1971. Associative overdominance caused by linked detrimental mutations. Genet Res, 18, 277–286.
Orr, J D, Sing, C F, and Moll, P P. 1981. Analysis of genetic and environmental sources of variation in serum cholesterol in Tecumseh, Michigan. VI. A search for genotype by environment interaction. Jour Chron Dis, 34, 545–559.
Pierce, B A, and Mitton, J B. 1982. Allozyme heterozygosity and growth in tiger salamander, Ambyostoma tigrinum. Jour Hered, 73, 250–253.
Sinnock, P. 1975. The Wahlund effect for the two-loci model. Am Nat, 109, 565–570.
Sinnock, P, and Sing, C F. 1972. Analysis of multilocus genetic systems in Tecumseh, Michigan. II. Consideration of the correlation between nonalleles in gametes. Amer J Hum Genet, 24, 393–415.
Smouse, P E. 1986. The fitness consequences of multi-locus heterozygosity under the multiplicative overdominance and inbreeding depression models. Evol 40, 946–957.
Sved, J A. 1968. The stability of linked systems of loci with a small population size. Genetics, 59, 543–563.
Yager, L N, Kaumeyer, J F, and Weinberg, E S. 1984. Evolving sea urchin histone genes-nucleotide polymorphisms in the H4 gene and spacers of Stronglocentrotus pur-puratus. Jour Mol Evol, 20, 215–226.
Zouros, E, and Foltz, D W. 1987. The use of allelic isozyme variation for the study of heterosis. Isozymes (In press).
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Chakraborty, R. Biochemical heterozygosity and phenotypic variability of polygenic traits. Heredity 59, 19–28 (1987). https://doi.org/10.1038/hdy.1987.92
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DOI: https://doi.org/10.1038/hdy.1987.92
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